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纵观历年高考数学试题,探索性问题(由给定的题设条件,探求相应的结论)是热点问题.因为这类问题能较好地考查学生运用数学知识、数学思想方法分析问题、解决问题的能力.1 探索性问题的类型和求解思路1.1 归纳型对未给出结论的问题一般称为归纳型.求解思路是:通过对题设条件中的关系式或特例进行观察、分析、联想、比较,用不完全归纳法归纳出结论,然后加以严格的证明.
Looking at the mathematics test questions of the college entrance examinations over the years, exploratory questions (providing conditions for the given questions and seeking corresponding conclusions) are hot issues. Because such questions can better examine students’ use of mathematical knowledge, mathematical thinking methods to analyze problems and solve problems. Ability.1 Types of Exploratory Problems and Solutions to Problems 1.1 Inductive Types Problems that do not give conclusions are generally called inductive types. The solution idea is: to observe, analyze, and associate through the relational or special cases in the conditional conditions. In comparison, the conclusions are summed up with incomplete induction and then rigorously proved.